论文标题
Fenchel- Nielsen坐标和高盛支架
Fenchel--Nielsen coordinates and Goldman brackets
论文作者
论文摘要
我们明确表明V.V.引入的剪切坐标集中的泊松支架。 1997年的Fock诱导了Fenchel-Nielsen支架在粘合参数(长度和扭曲参数)的集合中,用于对带有孔的Riemann表面$σ_{G,S} $的裤子分解。我们将这些结构概括为riemann表面$σ_{g,s,n} $的情况,并带有孔和边框尖端。
We explicitly show that the Poisson bracket on the set of shear coordinates introduced by V.V. Fock in 1997 induces the Fenchel--Nielsen bracket on the set of gluing parameters (length and twist parameters) for pairs of pants decomposition for Riemann surfaces with holes $Σ_{g,s}$. We generalize these structures to the case of Riemann surfaces $Σ_{g,s,n}$ with holes and bordered cusps.